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Finding the Fourth Proportional to 477,911.64, 659,512.80 and 263,047.08

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Solution

The fourth proportional to 477,911.64, 659,512.80 and 263,047.08 is: 363,002.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,911.64 : 659,512.80 = 263,047.08 : x
  2. Step 2: Convert to fraction form
    477,911.64/659,512.80 = 263,047.08/x
  3. Step 3: Cross multiply
    477,911.64x = 659,512.80 × 263,047.08
  4. Step 4: Simplify right side
    477,911.64x = 173,482,916,262.62
  5. Step 5: Solve for x
    x = 173,482,916,262.62/477,911.64
  6. Step 6: Final answer
    x = 363,002.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.